I have seen stuffed 'doll/toy' bunnies made with floppy ears like that, its really cute and like you, Im not a cutsie kind of gal but they are sweet. I should take a photo, I bought a toy bunny once, he wears blue gingham overalls and they are all oil stained looking, like he is a mechanic/ grease monkey bunny LOL
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"My will is mine.....I shall not make it soft for you" Aeschylus, Agamemnon